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Unit 6 Test 1 Review
{ Probability
Sample Space
and Counting
Principle
Addition
Rule
Multiplication
Rule
100
100
200
Venn
Diagrams
Conditional
Probability
100
100
100
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
List the sample space
for tossing three
coins in a row.
Shoppers in a large
shopping mall are
categorized as: male or
female, over 30 or under
30, and cash or credit.
Draw a tree diagram for
the sample space.
A car model comes with the
following choices: 9 colors, with or
without AC, with or without
sunroof, manual or automatic, with
or without spoiler, 16’’, 17’’, or 18’’
wheels, and cloth or leather. How
many different models can be
purchased?
A social security number consists of
nine digits. If the repetition of digits
is allowed, but the first digit can’t
be a 0, 1, or 2, how many different
social security number exist?
A combination lock has a mixture of
letters and numbers. There are 5
dials on the lock. The first dial is a
letter A through H, the next two
dials are digits (no repetition), the
fourth dial is a letter M through Z,
and the last dial is a digit 3 through
7, how many possible codes are
there?
In a group of 92 students, 40
have brown eyes, 35 have hazel
eyes, and 17 have blue eyes. As
a fraction, what is the
probability of selecting a
student who has either brown
eyes or hazel eyes?
In a group of 92 students, 40
have brown eyes, 35 have hazel
eyes, and 17 have blue eyes. As
a fraction, what is the
probability of selecting a
student who has either brown
eyes or hazel eyes?
If two dice are rolled, find the
probability that the sum of the
dice is either a 4 or a 9.
What is the probability of
selecting an even number card
or a heart when selecting a
single card from a standard
deck?
To maintain their physical fitness, Americans are
exercising more than ever in a variety of ways.
Bradley and Robbins interviewed many Americans
to determine how the were exercising. In How
American Exercise, they present the following: 53%
jog, 44% swim, 46% cycle, 18% jog and swim, 15%
swim and cycle, 17% jog and cycle, and 7% jog,
swim, and cycle. If an American who exercises
regularly is randomly selected, what is the
probability that the person either jogs, swims or
cycles to maintain physical fitness?
A six side die is rolled and a
coin is tossed. What is the
probability of getting a 3 and a
Tails?
A card is drawn from a deck,
replaced, and then another card
is drawn. What is the
probability of drawing a King
and a Diamond?
A bag contains 4 red marbles, 8
yellow marbles, and 6 green
marbles. If two marbles are
drawn, without replacement,
what is the probability of
getting 2 green marbles?
A single die is rolled three
times. What is the probability of
getting an even number, then a
3, and then a number greater
than 2?
Three cards are drawn from a
standard deck. If none of the
cards are replaced, what is the
probability of getting three face
cards?
A teacher took a survey of when
students play sports. 10 said they
play on Saturday, 12 said they play
on Sunday, and 3 said they play both
days. Draw a Venn Diagram to
represent the survey.
A survey of 100 families regarding
technology in their homes came up with the
following data: 85 families had a smart
phone, 78 families had a computer, 10
families had a tablet, 67 families had a smart
phone and computer, 8 families had a
computer and tablet, 6 families had a smart
phone and tablet, and 5 families had all
three. Draw a Venn Diagram of the survey.
Of the 28 student in a class, 12 have
a part time job, 22 have a part time
job or do regular volunteer work, 4
of the students have a part time job
and do regular volunteer work. Find
the probability of selected a student
who does volunteer work but
doesn’t have a part time job.
Using the Venn diagram below, find the
following probability:
P(A’)
Using the Venn diagram below, find the
following probability:
P(B’ U S)
Given the following:
Determine:
Given the following:
Determine:
A biology teacher gave her students two
tests The probability that a student received
1
a score of 90% or above on both tests is
10
The probability that a student received a
1
score of 90% or above on the first test is ,
5
and the probability that a student received a
1
score of 90% or above on the second test is .
2
Prove whether the events are independent
or dependent.
What is the probability that an author is
unsuccessful, given that they are an
established author.
Find the following probabilities:
a. P(Black Hair ∩ Hazel Eyes)
b. P(Red Hair ∪ Blue Eyes)
c. P(Green Eyes │ Brown Hair )